The following probability distribution represents the number of grievances filed per month with the MNM. Corporation.x f(x)0 0.041 0.362 0.503 0.084 0.02a. Determine the expected value of the number of grievances in a month.Question 9Select one:a.3.0b.1.25c.1.68d.2.25
Question
The following probability distribution represents the number of grievances filed per month with the MNM. Corporation.x f(x)0 0.041 0.362 0.503 0.084 0.02a. Determine the expected value of the number of grievances in a month.Question 9Select one:a.3.0b.1.25c.1.68d.2.25
Solution
To calculate the expected value of a probability distribution, you multiply each outcome by its probability and then sum these products. The expected value is a type of average, so it gives us the average number of grievances we would expect in a month if this distribution were to hold true.
Here's how you calculate it:
(0 * 0.04) + (1 * 0.36) + (2 * 0.50) + (3 * 0.08) + (4 * 0.02)
= 0 + 0.36 + 1.00 + 0.24 + 0.08
= 1.68
So, the expected value of the number of grievances in a month is 1.68. Therefore, the correct answer is c. 1.68.
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